Question

Find the cubic root of the following number by prime factorisation method:

$175616$

Answer 1

On prime factorising, we get,

$175616=8\times 8\times 8\times 7\times 7\times 7$

$=8^3\times 7^3$.

Then, cube root of $175616$ is:

$\sqrt[3]{3175616}=\sqrt[3]{38^3\times 7^3}=8\times 7\times =56$.

Therefore, $56$ is the solution.